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arXiv · 1509.04483

An Algebraic Approach to the Scattering Equations

Rijun Huang·Junjie Rao·Bo Feng·Yang-Hui He
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Abstract

We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders the CHY-integrand of scattering amplitudes computable using simple linear algebra and is amenable to an algorithmic approach. Certain identities in the amplitudes as well as rationality of the final integrand become immediate in this formalism.

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Rijun Huang, Junjie Rao, Bo Feng, Yang-Hui He. 2015-09-15. An Algebraic Approach to the Scattering Equations. https://doi.org/10.1007/jhep12(2015)056

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